A cyclist travels at a constant spekyqb pqqi7y.d 1 huh1(mgs o(/,+,woced of $22.0 \mathrm{~km} / \mathrm{hr}$ except for a 20 minute stop. The cyclists average speed was $17.5 \mathrm{~km} / \mathrm{hr}$. How far did the cyclist travel?

  Rank the magnitudes of the average acceleration during the ten second*gyeq e z6wxy yl/wv )(jbe*19+u -fsc interval.

  Rank the magnitudes of the maximum velocity achieved durin8ykr b+0 kfj1ug the ten second interval8r1jfy +0 bkku.

  Rank the magnitudes of the distance traveled during the ten second zg fo(2r4cm+b interval.

  A crude approximation is that the Earth travels in a circular orbit about the vnci;s,skvyo :s 3 k) r-r0pq7Sun at constant speed, at a distance of)kc onvks0-p:;7ssv ,rr3iy q $150,000,000 \mathrm{~km}$ from the Sun. Which of the following is the closest for the acceleration of the Earth in this orbit?

  A child is sliding out ae)(uvj2x ;k/ qe0pju of control with velocity $v_{\mathrm{c}}$ across a frozen lake. He runs head-on into another child, initially at rest, with 3 times the mass of the first child, who holds on so that the two now slide together. What is the velocity of the couple after the collision?

  An ice skater can rotate about a verticp.j8fiour,f o(sic19si,0 sbal axis with an angular velocity $\omega_{0}$ by holding her arms straight out. She can then pull in her arms close to her body so that her angular velocity changes to $2 \omega_{0}$, without the application of any external torque. What is the ratio of her final rotational kinetic energy to her initial rotational kinetic energy?

  When a block of wood with a wei03 nsh+ efy)dd3orp)ydk0sq 5ght of $30 \mathrm{~N}$ is completely submerged under water the buoyant force on the block of wood from the water is $50 \mathrm{~N}$. When the block is released it floats at the
surface. What fraction of the block will then be visible above the surface of the water when the block is floating?

  A spring has an equilibrzb.( - ;skhj7ilqza/+ -ejmqvvw .bu (ium length of 2.0 meters and a spring constant of 10 newtons/meter. Alice is pulling on one end of the spring withu e/ - m7lhvksv. wjqq((; ajb-z+zib. a force of 3.0 newtons. Bob is pulling on the opposite end of the spring with a force of 3.0 newtons, in the opposite direction. What is the resulting length of the spring?

  Which of the following changes will resukecrw;yua:ye y3sx1l+ 7x:u 9lt in an increase in the period of a simple p erxuc7a93: 1yyl s+u:ykx;ewendulum?

  A large metal cylindrical cup floatco3eknp o g :(v7lw((hs in a rectangular tub half-filled with water. The tap is placed over the cup and turned on, releasing water at a constant rate. Eventually the cup sinks to the bottom and is completely submerged. Which of the following five graphs could represent the water level in the sink as a function of thcek7( :v3wong( (p loime?

  You are given a large0xh( n/e)nvcx collection of identical heavy balls and lightweight rods. When 0ev/hx( cx)nntwo balls are placed at the ends of one rod and interact through their mutual gravitational attraction (as is shown on the left), the compressive force in the rod is $F$. Next, three balls and three rods are placed at the vertexes and edges of an equilateral triangle (as is shown on the right). What is the compressive force in each rod in the latter case?

  The apparatus in the diagram consists of a2mc1k3xd-ysf pf:z8*w*ap my solid cylinder of radius $1 \mathrm{~cm}$ attached at the center to two disks of radius $2 \mathrm{~cm}$. It is placed on a surface where it can roll, but will not slip. A thread is wound around the central cylinder. When the thread is pulled at the angle $\theta=90^{\circ}$ to the horizontal (directly up), the apparatus rolls to the right. Which below is the largest value of $\theta$ for which it will not roll to the right when pulling on the thread?

  You have 5 different strings with weights tied a7 j*xmn9e36 b:js,b7ntepp bht various point, all hanging from the ceiling, and reaching down to the floor. The string is released at the top, allowing the weights t 9n6mejx7n:pbj ,3phb7*bseto fall. Which one will create a regular, uniform beating sound as the weights hit the floor?

  A vertical mass-spring oscillator is displacebrcg.znuo tdlyy (e,su9n+7d* 8,: dtd $2.0 \mathrm{~cm}$ from equilibrium. The $100 \mathrm{~g}$ mass passes through the equilibrium point with a speed of $0.75 \mathrm{~m} / \mathrm{s}$. What is the spring constant of the spring?

  What magnitude force does Jonathan need to exert o)hqb1l k--n1xdui wgc;t a* .sn the physics book to keep the rope ;-l1nxdt) - sk*qcb.giw1 ahu from slipping?

  Jonathan applies a normal force that is just enough to26 1vly wnee2nke* gp73q aj/c keep the rope from slipping. Becky makes a small jump, baawyk2n6njgeee23l1 *7 v c qp/rely leaving contact with the floor of the box. Upon landing on the box, the force of the impact causes the rope to start slipping from Jonathans hand. At what speed does the box smash into the ground? Assume Jonathans normal force does not change.

  A block of mass $m=3.0 \mathrm{~kg}$ slides down one ramp, and then up a second ramp. The coefficient of kinetic friction between the block and each ramp is $\mu_{\mathrm{k}}=0.40$. The block begins at a height $\mathrm{h}_{1}=1.0 \mathrm{~m}$ above the horizontal. Both ramps are at a $30^{\circ}$ incline above the horizontal. To what height above the horizontal does the block rise on the second ramp?

  After how much time will the2(qxnn+- pl 6(lytoaa particle first return to the origin?

  What is the maximum distance between the particle vaq -8ozm45mbea* z3aand the origin?

  An engineer is given a fixed volume(a2r2 2lj;ra4a2 ipjlttm6ep $V_{m}$ of metal with which to construct a spherical pressure vessel. Interestingly, assuming the vessel has thin walls and is always pressurized to near its bursting point, the amount of gas the vessel can contain, $n$ (measured in moles), does not depend on the radius $r$ of the vessel; instead it depends only on $V_{m}$ (measured in $\mathrm{m}^{3}$ ), the temperature $T$ (measured in $\mathrm{K}$ ), the ideal gas constant $R$ (measured in $\mathrm{J} /(\mathrm{K} \cdot \mathrm{mol})$ ), and the
tensile strength of the metal $\sigma$ (measured in $\mathrm{N} / \mathrm{m}^{2}$ ). Which of the following gives $n$ in terms of these parameters?

  This graph depicts the torque output of a hypothetical gasoline engine as a fu:m4pb sk, b-ounction of rotation frequency. The engine is incapable of running outside of the graphed range. :moub ,-4pskb


At what engine RPM (revolutions per minute) does the engine produce maximum power?

  A particle is launched from the surface of a uniform, stationary sphelf9z* xwxr75 g1xj bp64 z,plurical planet at an angle to the vertical. The particle travels in the absence of air resistance and eventually falls back onto the planet. Spaceman Fred describes the path of the particle as a parabola using the laws of projlpx56rzf9l xpx*4u 1gwj7b, zectile motion. Spacewoman Kate recalls from Keplers laws that every bound orbit
around a point mass is an ellipse (or circle), and that the gravitation due to a uniform sphere is identical to that of a point mass. Which of the following best explains the discrepancy?

  A turntable is supporte .tpe0d/ wo202n unofgl3t *n-vnfydc ,x)(l wd on a Teflon ring of inner radius $R$ and outer radius $R+\sigma(\sigma << R)$, as shown in the diagram. To rotate the turntable at a constant rate, power must be supplied to overcome friction. The manufacturer of the turntable wishes to reduce the power required without changing the rotation rate, the weight of the turntable, or the coefficient of friction of the Teflon surface. Engineers propose two solutions: increasing the width of the bearing (increasing $\sigma$ ), or increasing the radius (increasing $R$ ). What are the effects of these proposed changes?

  A hollow cylinder with a very thin wall (like a toilet paper tuu31 zdaelo;,. k - fubmj6n8mabe) and a block are placed at rest at the top 6a,nu. z-b1mfkm8o;jule da3 of a plane with inclination $\theta$ above the horizontal. The cylinder rolls down the plane without slipping and the block slides down the plane; it is found that both objects reach the bottom of the plane simultaneously. What is the coefficient of kinetic friction between the block and the plane?